Midsphere Radius of Cube given Volume Calculator

✖Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.ⓘ Midsphere Radius of Cube given Volume [r_m]

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Formula

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Midsphere Radius of Cube given Volume

Formula

`"r"_{"m"} = "V"^(1/3)/sqrt(2)`

Example

`"7.071068m"=("1000m³")^(1/3)/sqrt(2)`

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Midsphere Radius of Cube given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Cube = Volume of Cube^(1/3)/sqrt(2)
r_m = V^(1/3)/sqrt(2)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Midsphere Radius of Cube - (Measured in Meter) - Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.
Volume of Cube - (Measured in Cubic Meter) - Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.

STEP 1: Convert Input(s) to Base Unit

Volume of Cube: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = V^(1/3)/sqrt(2) --> 1000^(1/3)/sqrt(2)

Evaluating ... ...

r_m = 7.07106781186547

STEP 3: Convert Result to Output's Unit

7.07106781186547 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186547 ≈ 7.071068 Meter <-- Midsphere Radius of Cube

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Platonic Solids » Cube » Radius of Cube » Midsphere Radius of Cube » Midsphere Radius of Cube given Volume

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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< 14 Midsphere Radius of Cube Calculators

Midsphere Radius of Cube given Surface to Volume Ratio

Go Midsphere Radius of Cube = (3*sqrt(2))/Surface to Volume Ratio of Cube

Midsphere Radius of Cube given Lateral Surface Area

Go Midsphere Radius of Cube = 1/2*sqrt((Lateral Surface Area of Cube)/2)

Midsphere Radius of Cube given Inscribed Cylinder Radius

Go Midsphere Radius of Cube = sqrt(2)*Inscribed Cylinder Radius of Cube

Midsphere Radius of Cube given Total Surface Area

Go Midsphere Radius of Cube = 1/2*sqrt((Total Surface Area of Cube)/3)

Midsphere Radius of Cube given Circumsphere Radius

Go Midsphere Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube

Midsphere Radius of Cube given Face Perimeter

Go Midsphere Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))

Midsphere Radius of Cube given Insphere Radius

Go Midsphere Radius of Cube = sqrt(2)*Insphere Radius of Cube

Midsphere Radius of Cube given Space Diagonal

Go Midsphere Radius of Cube = Space Diagonal of Cube/sqrt(6)

Midsphere Radius of Cube given Perimeter

Go Midsphere Radius of Cube = Perimeter of Cube/(12*sqrt(2))

Midsphere Radius of Cube given Volume

Go Midsphere Radius of Cube = Volume of Cube^(1/3)/sqrt(2)

Midsphere Radius of Cube

Go Midsphere Radius of Cube = Edge Length of Cube/sqrt(2)

Midsphere Radius of Cube given Face Area

Go Midsphere Radius of Cube = sqrt(Face Area of Cube/2)

Midsphere Radius of Cube given Circumscribed Cylinder Radius

Go Midsphere Radius of Cube = 1*Circumscribed Cylinder Radius of Cube

Midsphere Radius of Cube given Face Diagonal

Go Midsphere Radius of Cube = Face Diagonal of Cube/2

Midsphere Radius of Cube given Volume Formula

Midsphere Radius of Cube = Volume of Cube^(1/3)/sqrt(2)
r_m = V^(1/3)/sqrt(2)

What is a Cube?

A Cube is a symmetric, closed three dimensional shape having 6 identical square shaped faces. It has 8 corners, 12 edges and 6 faces. And each corner is shared by 3 faces and each edge is shared by 2 faces of the Cube. In other way, a rectangular box in which length, breadth and height are numerically equal is called a Cube. That equal measurement is called the edge length of the Cube. Also Cube is a Platonic solid.

How to Calculate Midsphere Radius of Cube given Volume?

Midsphere Radius of Cube given Volume calculator uses Midsphere Radius of Cube = Volume of Cube^(1/3)/sqrt(2) to calculate the Midsphere Radius of Cube, The Midsphere Radius of Cube given Volume formula is defined as the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere, and calculated using the volume of the Cube. Midsphere Radius of Cube is denoted by r_m symbol.

How to calculate Midsphere Radius of Cube given Volume using this online calculator? To use this online calculator for Midsphere Radius of Cube given Volume, enter Volume of Cube (V) and hit the calculate button. Here is how the Midsphere Radius of Cube given Volume calculation can be explained with given input values -> 7.071068 = 1000^(1/3)/sqrt(2).

FAQ

What is Midsphere Radius of Cube given Volume?

The Midsphere Radius of Cube given Volume formula is defined as the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere, and calculated using the volume of the Cube and is represented as r_m = V^(1/3)/sqrt(2) or Midsphere Radius of Cube = Volume of Cube^(1/3)/sqrt(2). Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.

How to calculate Midsphere Radius of Cube given Volume?

The Midsphere Radius of Cube given Volume formula is defined as the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere, and calculated using the volume of the Cube is calculated using Midsphere Radius of Cube = Volume of Cube^(1/3)/sqrt(2). To calculate Midsphere Radius of Cube given Volume, you need Volume of Cube (V). With our tool, you need to enter the respective value for Volume of Cube and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Midsphere Radius of Cube?

In this formula, Midsphere Radius of Cube uses Volume of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Cube = Edge Length of Cube/sqrt(2)
Midsphere Radius of Cube = sqrt(Face Area of Cube/2)
Midsphere Radius of Cube = Face Diagonal of Cube/2
Midsphere Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))
Midsphere Radius of Cube = Space Diagonal of Cube/sqrt(6)
Midsphere Radius of Cube = 1/2*sqrt((Lateral Surface Area of Cube)/2)
Midsphere Radius of Cube = 1/2*sqrt((Total Surface Area of Cube)/3)
Midsphere Radius of Cube = sqrt(2)*Insphere Radius of Cube
Midsphere Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube
Midsphere Radius of Cube = (3*sqrt(2))/Surface to Volume Ratio of Cube
Midsphere Radius of Cube = 1*Circumscribed Cylinder Radius of Cube
Midsphere Radius of Cube = sqrt(2)*Inscribed Cylinder Radius of Cube
Midsphere Radius of Cube = Perimeter of Cube/(12*sqrt(2))

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